Scalar curvature rigidity with a volume constraint

Abstract

Motivated by Brendle-Marques-Neves' counterexample to the Min-Oo's conjecture, we prove a volume constrained scalar curvature rigidity theorem which applies to the hemisphere.

Theorem 1.7 and Theorem 5.1 strengthened

References in corpus (1)

• Rigidity phenomena involving scalar curvature

Cited by in corpus (1)

• Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary